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Finding the Third Proportional to 61,222 and 89,737

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Solution

The third proportional to 61,222 and 89,737 is: 131,533.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,222 : 89,737 = 89,737 : x
  2. Step 2: Convert to fraction form
    61,222/89,737 = 89,737/x
  3. Step 3: Cross multiply
    61,222x = 89,737 × 89,737
  4. Step 4: Simplify right side
    61,222x = 8,052,729,169
  5. Step 5: Solve for x
    x = 8,052,729,169/61,222
  6. Step 6: Final answer
    x = 131,533.26

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.