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Finding the Third Proportional to 75,283 and 161,432

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Solution

The third proportional to 75,283 and 161,432 is: 346,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,283 : 161,432 = 161,432 : x
  2. Step 2: Convert to fraction form
    75,283/161,432 = 161,432/x
  3. Step 3: Cross multiply
    75,283x = 161,432 × 161,432
  4. Step 4: Simplify right side
    75,283x = 26,060,290,624
  5. Step 5: Solve for x
    x = 26,060,290,624/75,283
  6. Step 6: Final answer
    x = 346,164.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.