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Finding the Third Proportional to 75,038 and 160,118

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Solution

The third proportional to 75,038 and 160,118 is: 341,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,038 : 160,118 = 160,118 : x
  2. Step 2: Convert to fraction form
    75,038/160,118 = 160,118/x
  3. Step 3: Cross multiply
    75,038x = 160,118 × 160,118
  4. Step 4: Simplify right side
    75,038x = 25,637,773,924
  5. Step 5: Solve for x
    x = 25,637,773,924/75,038
  6. Step 6: Final answer
    x = 341,663.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.