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Finding the Third Proportional to 67,533 and 125,428.50

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Solution

The third proportional to 67,533 and 125,428.50 is: 232,957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,533 : 125,428.50 = 125,428.50 : x
  2. Step 2: Convert to fraction form
    67,533/125,428.50 = 125,428.50/x
  3. Step 3: Cross multiply
    67,533x = 125,428.50 × 125,428.50
  4. Step 4: Simplify right side
    67,533x = 15,732,308,612.25
  5. Step 5: Solve for x
    x = 15,732,308,612.25/67,533
  6. Step 6: Final answer
    x = 232,957.35

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.