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Finding the Third Proportional to 71,230 and 152,342

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Solution

The third proportional to 71,230 and 152,342 is: 325,818.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,230 : 152,342 = 152,342 : x
  2. Step 2: Convert to fraction form
    71,230/152,342 = 152,342/x
  3. Step 3: Cross multiply
    71,230x = 152,342 × 152,342
  4. Step 4: Simplify right side
    71,230x = 23,208,084,964
  5. Step 5: Solve for x
    x = 23,208,084,964/71,230
  6. Step 6: Final answer
    x = 325,818.97

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