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Finding the Third Proportional to 117,312.05 and 159,337.76

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Solution

The third proportional to 117,312.05 and 159,337.76 is: 216,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,312.05 : 159,337.76 = 159,337.76 : x
  2. Step 2: Convert to fraction form
    117,312.05/159,337.76 = 159,337.76/x
  3. Step 3: Cross multiply
    117,312.05x = 159,337.76 × 159,337.76
  4. Step 4: Simplify right side
    117,312.05x = 25,388,521,064.71
  5. Step 5: Solve for x
    x = 25,388,521,064.71/117,312.05
  6. Step 6: Final answer
    x = 216,418.70

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.