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Finding the Third Proportional to 56,484 and 82,998

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Solution

The third proportional to 56,484 and 82,998 is: 121,957.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,484 : 82,998 = 82,998 : x
  2. Step 2: Convert to fraction form
    56,484/82,998 = 82,998/x
  3. Step 3: Cross multiply
    56,484x = 82,998 × 82,998
  4. Step 4: Simplify right side
    56,484x = 6,888,668,004
  5. Step 5: Solve for x
    x = 6,888,668,004/56,484
  6. Step 6: Final answer
    x = 121,957.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.