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Finding the Third Proportional to 89,658 and 125,653.50

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Solution

The third proportional to 89,658 and 125,653.50 is: 176,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,658 : 125,653.50 = 125,653.50 : x
  2. Step 2: Convert to fraction form
    89,658/125,653.50 = 125,653.50/x
  3. Step 3: Cross multiply
    89,658x = 125,653.50 × 125,653.50
  4. Step 4: Simplify right side
    89,658x = 15,788,802,062.25
  5. Step 5: Solve for x
    x = 15,788,802,062.25/89,658
  6. Step 6: Final answer
    x = 176,100.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.