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Finding the Third Proportional to 109,901 and 160,720

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Solution

The third proportional to 109,901 and 160,720 is: 235,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,901 : 160,720 = 160,720 : x
  2. Step 2: Convert to fraction form
    109,901/160,720 = 160,720/x
  3. Step 3: Cross multiply
    109,901x = 160,720 × 160,720
  4. Step 4: Simplify right side
    109,901x = 25,830,918,400
  5. Step 5: Solve for x
    x = 25,830,918,400/109,901
  6. Step 6: Final answer
    x = 235,038.07

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Why These Related Problems?

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