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Finding the Third Proportional to 96,088 and 140,428

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Solution

The third proportional to 96,088 and 140,428 is: 205,228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,088 : 140,428 = 140,428 : x
  2. Step 2: Convert to fraction form
    96,088/140,428 = 140,428/x
  3. Step 3: Cross multiply
    96,088x = 140,428 × 140,428
  4. Step 4: Simplify right side
    96,088x = 19,720,023,184
  5. Step 5: Solve for x
    x = 19,720,023,184/96,088
  6. Step 6: Final answer
    x = 205,228.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.