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Finding the Third Proportional to 77,875.50 and 118,352.63

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Solution

The third proportional to 77,875.50 and 118,352.63 is: 179,868.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,875.50 : 118,352.63 = 118,352.63 : x
  2. Step 2: Convert to fraction form
    77,875.50/118,352.63 = 118,352.63/x
  3. Step 3: Cross multiply
    77,875.50x = 118,352.63 × 118,352.63
  4. Step 4: Simplify right side
    77,875.50x = 14,007,343,844.39
  5. Step 5: Solve for x
    x = 14,007,343,844.39/77,875.50
  6. Step 6: Final answer
    x = 179,868.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.