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Finding the Third Proportional to 82,377 and 147,030.19

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Solution

The third proportional to 82,377 and 147,030.19 is: 262,426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,377 : 147,030.19 = 147,030.19 : x
  2. Step 2: Convert to fraction form
    82,377/147,030.19 = 147,030.19/x
  3. Step 3: Cross multiply
    82,377x = 147,030.19 × 147,030.19
  4. Step 4: Simplify right side
    82,377x = 21,617,876,036.29
  5. Step 5: Solve for x
    x = 21,617,876,036.29/82,377
  6. Step 6: Final answer
    x = 262,426.11

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.