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Finding the Third Proportional to 95,778 and 145,000.13

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Solution

The third proportional to 95,778 and 145,000.13 is: 219,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,778 : 145,000.13 = 145,000.13 : x
  2. Step 2: Convert to fraction form
    95,778/145,000.13 = 145,000.13/x
  3. Step 3: Cross multiply
    95,778x = 145,000.13 × 145,000.13
  4. Step 4: Simplify right side
    95,778x = 21,025,036,250.02
  5. Step 5: Solve for x
    x = 21,025,036,250.02/95,778
  6. Step 6: Final answer
    x = 219,518.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.