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Finding the Third Proportional to 72,437 and 112,069

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Solution

The third proportional to 72,437 and 112,069 is: 173,384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,437 : 112,069 = 112,069 : x
  2. Step 2: Convert to fraction form
    72,437/112,069 = 112,069/x
  3. Step 3: Cross multiply
    72,437x = 112,069 × 112,069
  4. Step 4: Simplify right side
    72,437x = 12,559,460,761
  5. Step 5: Solve for x
    x = 12,559,460,761/72,437
  6. Step 6: Final answer
    x = 173,384.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.