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Finding the Third Proportional to 110,826 and 148,527

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Solution

The third proportional to 110,826 and 148,527 is: 199,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,826 : 148,527 = 148,527 : x
  2. Step 2: Convert to fraction form
    110,826/148,527 = 148,527/x
  3. Step 3: Cross multiply
    110,826x = 148,527 × 148,527
  4. Step 4: Simplify right side
    110,826x = 22,060,269,729
  5. Step 5: Solve for x
    x = 22,060,269,729/110,826
  6. Step 6: Final answer
    x = 199,053.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.