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Finding the Third Proportional to 53,490 and 83,192

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Solution

The third proportional to 53,490 and 83,192 is: 129,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,490 : 83,192 = 83,192 : x
  2. Step 2: Convert to fraction form
    53,490/83,192 = 83,192/x
  3. Step 3: Cross multiply
    53,490x = 83,192 × 83,192
  4. Step 4: Simplify right side
    53,490x = 6,920,908,864
  5. Step 5: Solve for x
    x = 6,920,908,864/53,490
  6. Step 6: Final answer
    x = 129,386.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.