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Finding the Third Proportional to 82,140 and 119,382

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Solution

The third proportional to 82,140 and 119,382 is: 173,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,140 : 119,382 = 119,382 : x
  2. Step 2: Convert to fraction form
    82,140/119,382 = 119,382/x
  3. Step 3: Cross multiply
    82,140x = 119,382 × 119,382
  4. Step 4: Simplify right side
    82,140x = 14,252,061,924
  5. Step 5: Solve for x
    x = 14,252,061,924/82,140
  6. Step 6: Final answer
    x = 173,509.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.