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Finding the Third Proportional to 42,948 and 63,141

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Solution

The third proportional to 42,948 and 63,141 is: 92,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,948 : 63,141 = 63,141 : x
  2. Step 2: Convert to fraction form
    42,948/63,141 = 63,141/x
  3. Step 3: Cross multiply
    42,948x = 63,141 × 63,141
  4. Step 4: Simplify right side
    42,948x = 3,986,785,881
  5. Step 5: Solve for x
    x = 3,986,785,881/42,948
  6. Step 6: Final answer
    x = 92,828.21

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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.