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Finding the Third Proportional to 60,053 and 89,863

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Solution

The third proportional to 60,053 and 89,863 is: 134,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,053 : 89,863 = 89,863 : x
  2. Step 2: Convert to fraction form
    60,053/89,863 = 89,863/x
  3. Step 3: Cross multiply
    60,053x = 89,863 × 89,863
  4. Step 4: Simplify right side
    60,053x = 8,075,358,769
  5. Step 5: Solve for x
    x = 8,075,358,769/60,053
  6. Step 6: Final answer
    x = 134,470.53

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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.