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Finding the Third Proportional to 66,481 and 98,746

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Solution

The third proportional to 66,481 and 98,746 is: 146,670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,481 : 98,746 = 98,746 : x
  2. Step 2: Convert to fraction form
    66,481/98,746 = 98,746/x
  3. Step 3: Cross multiply
    66,481x = 98,746 × 98,746
  4. Step 4: Simplify right side
    66,481x = 9,750,772,516
  5. Step 5: Solve for x
    x = 9,750,772,516/66,481
  6. Step 6: Final answer
    x = 146,670.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.