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Finding the Third Proportional to 61,921 and 93,033

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Solution

The third proportional to 61,921 and 93,033 is: 139,777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,921 : 93,033 = 93,033 : x
  2. Step 2: Convert to fraction form
    61,921/93,033 = 93,033/x
  3. Step 3: Cross multiply
    61,921x = 93,033 × 93,033
  4. Step 4: Simplify right side
    61,921x = 8,655,139,089
  5. Step 5: Solve for x
    x = 8,655,139,089/61,921
  6. Step 6: Final answer
    x = 139,777.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.