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Finding the Third Proportional to 66,607 and 98,895

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Solution

The third proportional to 66,607 and 98,895 is: 146,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,607 : 98,895 = 98,895 : x
  2. Step 2: Convert to fraction form
    66,607/98,895 = 98,895/x
  3. Step 3: Cross multiply
    66,607x = 98,895 × 98,895
  4. Step 4: Simplify right side
    66,607x = 9,780,221,025
  5. Step 5: Solve for x
    x = 9,780,221,025/66,607
  6. Step 6: Final answer
    x = 146,834.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.