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Finding the Third Proportional to 75,342 and 110,709

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Solution

The third proportional to 75,342 and 110,709 is: 162,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,342 : 110,709 = 110,709 : x
  2. Step 2: Convert to fraction form
    75,342/110,709 = 110,709/x
  3. Step 3: Cross multiply
    75,342x = 110,709 × 110,709
  4. Step 4: Simplify right side
    75,342x = 12,256,482,681
  5. Step 5: Solve for x
    x = 12,256,482,681/75,342
  6. Step 6: Final answer
    x = 162,677.96

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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.