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Finding the Third Proportional to 109,737 and 160,423.88

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Solution

The third proportional to 109,737 and 160,423.88 is: 234,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,737 : 160,423.88 = 160,423.88 : x
  2. Step 2: Convert to fraction form
    109,737/160,423.88 = 160,423.88/x
  3. Step 3: Cross multiply
    109,737x = 160,423.88 × 160,423.88
  4. Step 4: Simplify right side
    109,737x = 25,735,819,670.02
  5. Step 5: Solve for x
    x = 25,735,819,670.02/109,737
  6. Step 6: Final answer
    x = 234,522.72

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