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Finding the Third Proportional to 66,516 and 99,486

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Solution

The third proportional to 66,516 and 99,486 is: 148,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,516 : 99,486 = 99,486 : x
  2. Step 2: Convert to fraction form
    66,516/99,486 = 99,486/x
  3. Step 3: Cross multiply
    66,516x = 99,486 × 99,486
  4. Step 4: Simplify right side
    66,516x = 9,897,464,196
  5. Step 5: Solve for x
    x = 9,897,464,196/66,516
  6. Step 6: Final answer
    x = 148,798.25

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Why These Related Problems?

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