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Finding the Third Proportional to 53,490 and 83,157

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Solution

The third proportional to 53,490 and 83,157 is: 129,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,490 : 83,157 = 83,157 : x
  2. Step 2: Convert to fraction form
    53,490/83,157 = 83,157/x
  3. Step 3: Cross multiply
    53,490x = 83,157 × 83,157
  4. Step 4: Simplify right side
    53,490x = 6,915,086,649
  5. Step 5: Solve for x
    x = 6,915,086,649/53,490
  6. Step 6: Final answer
    x = 129,278.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.