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Finding the Third Proportional to 59,371.50 and 126,528

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Solution

The third proportional to 59,371.50 and 126,528 is: 269,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,371.50 : 126,528 = 126,528 : x
  2. Step 2: Convert to fraction form
    59,371.50/126,528 = 126,528/x
  3. Step 3: Cross multiply
    59,371.50x = 126,528 × 126,528
  4. Step 4: Simplify right side
    59,371.50x = 16,009,334,784
  5. Step 5: Solve for x
    x = 16,009,334,784/59,371.50
  6. Step 6: Final answer
    x = 269,646.80

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.