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Finding the Third Proportional to 125,005.50 and 178,628.63

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Solution

The third proportional to 125,005.50 and 178,628.63 is: 255,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,005.50 : 178,628.63 = 178,628.63 : x
  2. Step 2: Convert to fraction form
    125,005.50/178,628.63 = 178,628.63/x
  3. Step 3: Cross multiply
    125,005.50x = 178,628.63 × 178,628.63
  4. Step 4: Simplify right side
    125,005.50x = 31,908,185,669.39
  5. Step 5: Solve for x
    x = 31,908,185,669.39/125,005.50
  6. Step 6: Final answer
    x = 255,254.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.