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Finding the Third Proportional to 95,076 and 142,317

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Solution

The third proportional to 95,076 and 142,317 is: 213,030.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,076 : 142,317 = 142,317 : x
  2. Step 2: Convert to fraction form
    95,076/142,317 = 142,317/x
  3. Step 3: Cross multiply
    95,076x = 142,317 × 142,317
  4. Step 4: Simplify right side
    95,076x = 20,254,128,489
  5. Step 5: Solve for x
    x = 20,254,128,489/95,076
  6. Step 6: Final answer
    x = 213,030.93

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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.