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Finding the Third Proportional to 95,428 and 143,788

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Solution

The third proportional to 95,428 and 143,788 is: 216,655.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,428 : 143,788 = 143,788 : x
  2. Step 2: Convert to fraction form
    95,428/143,788 = 143,788/x
  3. Step 3: Cross multiply
    95,428x = 143,788 × 143,788
  4. Step 4: Simplify right side
    95,428x = 20,674,988,944
  5. Step 5: Solve for x
    x = 20,674,988,944/95,428
  6. Step 6: Final answer
    x = 216,655.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.