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Finding the Third Proportional to 60,920.25 and 89,004

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Solution

The third proportional to 60,920.25 and 89,004 is: 130,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,920.25 : 89,004 = 89,004 : x
  2. Step 2: Convert to fraction form
    60,920.25/89,004 = 89,004/x
  3. Step 3: Cross multiply
    60,920.25x = 89,004 × 89,004
  4. Step 4: Simplify right side
    60,920.25x = 7,921,712,016
  5. Step 5: Solve for x
    x = 7,921,712,016/60,920.25
  6. Step 6: Final answer
    x = 130,034.14

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.