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Finding the Third Proportional to 66,250 and 99,113

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Solution

The third proportional to 66,250 and 99,113 is: 148,277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,250 : 99,113 = 99,113 : x
  2. Step 2: Convert to fraction form
    66,250/99,113 = 99,113/x
  3. Step 3: Cross multiply
    66,250x = 99,113 × 99,113
  4. Step 4: Simplify right side
    66,250x = 9,823,386,769
  5. Step 5: Solve for x
    x = 9,823,386,769/66,250
  6. Step 6: Final answer
    x = 148,277.54

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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.