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Finding the Third Proportional to 52,863 and 72,487.50

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Solution

The third proportional to 52,863 and 72,487.50 is: 99,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,863 : 72,487.50 = 72,487.50 : x
  2. Step 2: Convert to fraction form
    52,863/72,487.50 = 72,487.50/x
  3. Step 3: Cross multiply
    52,863x = 72,487.50 × 72,487.50
  4. Step 4: Simplify right side
    52,863x = 5,254,437,656.25
  5. Step 5: Solve for x
    x = 5,254,437,656.25/52,863
  6. Step 6: Final answer
    x = 99,397.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.