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Finding the Third Proportional to 80,070 and 185,342

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Solution

The third proportional to 80,070 and 185,342 is: 429,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,070 : 185,342 = 185,342 : x
  2. Step 2: Convert to fraction form
    80,070/185,342 = 185,342/x
  3. Step 3: Cross multiply
    80,070x = 185,342 × 185,342
  4. Step 4: Simplify right side
    80,070x = 34,351,656,964
  5. Step 5: Solve for x
    x = 34,351,656,964/80,070
  6. Step 6: Final answer
    x = 429,020.32

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.