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Finding the Third Proportional to 72,534 and 110,959

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Solution

The third proportional to 72,534 and 110,959 is: 169,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,534 : 110,959 = 110,959 : x
  2. Step 2: Convert to fraction form
    72,534/110,959 = 110,959/x
  3. Step 3: Cross multiply
    72,534x = 110,959 × 110,959
  4. Step 4: Simplify right side
    72,534x = 12,311,899,681
  5. Step 5: Solve for x
    x = 12,311,899,681/72,534
  6. Step 6: Final answer
    x = 169,739.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.