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Finding the Third Proportional to 101,511 and 148,948

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Solution

The third proportional to 101,511 and 148,948 is: 218,552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,511 : 148,948 = 148,948 : x
  2. Step 2: Convert to fraction form
    101,511/148,948 = 148,948/x
  3. Step 3: Cross multiply
    101,511x = 148,948 × 148,948
  4. Step 4: Simplify right side
    101,511x = 22,185,506,704
  5. Step 5: Solve for x
    x = 22,185,506,704/101,511
  6. Step 6: Final answer
    x = 218,552.74

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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.