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Finding the Third Proportional to 61,353 and 90,007.50

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Solution

The third proportional to 61,353 and 90,007.50 is: 132,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,353 : 90,007.50 = 90,007.50 : x
  2. Step 2: Convert to fraction form
    61,353/90,007.50 = 90,007.50/x
  3. Step 3: Cross multiply
    61,353x = 90,007.50 × 90,007.50
  4. Step 4: Simplify right side
    61,353x = 8,101,350,056.25
  5. Step 5: Solve for x
    x = 8,101,350,056.25/61,353
  6. Step 6: Final answer
    x = 132,044.89

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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.