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Finding the Third Proportional to 56,962 and 89,484

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Solution

The third proportional to 56,962 and 89,484 is: 140,574.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,962 : 89,484 = 89,484 : x
  2. Step 2: Convert to fraction form
    56,962/89,484 = 89,484/x
  3. Step 3: Cross multiply
    56,962x = 89,484 × 89,484
  4. Step 4: Simplify right side
    56,962x = 8,007,386,256
  5. Step 5: Solve for x
    x = 8,007,386,256/56,962
  6. Step 6: Final answer
    x = 140,574.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.