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Finding the Third Proportional to 95,730 and 140,829.75

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Solution

The third proportional to 95,730 and 140,829.75 is: 207,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,730 : 140,829.75 = 140,829.75 : x
  2. Step 2: Convert to fraction form
    95,730/140,829.75 = 140,829.75/x
  3. Step 3: Cross multiply
    95,730x = 140,829.75 × 140,829.75
  4. Step 4: Simplify right side
    95,730x = 19,833,018,485.06
  5. Step 5: Solve for x
    x = 19,833,018,485.06/95,730
  6. Step 6: Final answer
    x = 207,176.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.