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Finding the Third Proportional to 107,541 and 157,507.88

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Solution

The third proportional to 107,541 and 157,507.88 is: 230,690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,541 : 157,507.88 = 157,507.88 : x
  2. Step 2: Convert to fraction form
    107,541/157,507.88 = 157,507.88/x
  3. Step 3: Cross multiply
    107,541x = 157,507.88 × 157,507.88
  4. Step 4: Simplify right side
    107,541x = 24,808,730,687.02
  5. Step 5: Solve for x
    x = 24,808,730,687.02/107,541
  6. Step 6: Final answer
    x = 230,690.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.