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Finding the Third Proportional to 56,572.50 and 119,706

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Solution

The third proportional to 56,572.50 and 119,706 is: 253,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,572.50 : 119,706 = 119,706 : x
  2. Step 2: Convert to fraction form
    56,572.50/119,706 = 119,706/x
  3. Step 3: Cross multiply
    56,572.50x = 119,706 × 119,706
  4. Step 4: Simplify right side
    56,572.50x = 14,329,526,436
  5. Step 5: Solve for x
    x = 14,329,526,436/56,572.50
  6. Step 6: Final answer
    x = 253,294.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.