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Finding the Third Proportional to 36,359 and 77,113

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Solution

The third proportional to 36,359 and 77,113 is: 163,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,359 : 77,113 = 77,113 : x
  2. Step 2: Convert to fraction form
    36,359/77,113 = 77,113/x
  3. Step 3: Cross multiply
    36,359x = 77,113 × 77,113
  4. Step 4: Simplify right side
    36,359x = 5,946,414,769
  5. Step 5: Solve for x
    x = 5,946,414,769/36,359
  6. Step 6: Final answer
    x = 163,547.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.