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Finding the Third Proportional to 73,428 and 116,707

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Solution

The third proportional to 73,428 and 116,707 is: 185,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,428 : 116,707 = 116,707 : x
  2. Step 2: Convert to fraction form
    73,428/116,707 = 116,707/x
  3. Step 3: Cross multiply
    73,428x = 116,707 × 116,707
  4. Step 4: Simplify right side
    73,428x = 13,620,523,849
  5. Step 5: Solve for x
    x = 13,620,523,849/73,428
  6. Step 6: Final answer
    x = 185,494.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.