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Finding the Third Proportional to 101,527 and 148,827

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Solution

The third proportional to 101,527 and 148,827 is: 218,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,527 : 148,827 = 148,827 : x
  2. Step 2: Convert to fraction form
    101,527/148,827 = 148,827/x
  3. Step 3: Cross multiply
    101,527x = 148,827 × 148,827
  4. Step 4: Simplify right side
    101,527x = 22,149,475,929
  5. Step 5: Solve for x
    x = 22,149,475,929/101,527
  6. Step 6: Final answer
    x = 218,163.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.