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Finding the Third Proportional to 95,596 and 148,506

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Solution

The third proportional to 95,596 and 148,506 is: 230,700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,596 : 148,506 = 148,506 : x
  2. Step 2: Convert to fraction form
    95,596/148,506 = 148,506/x
  3. Step 3: Cross multiply
    95,596x = 148,506 × 148,506
  4. Step 4: Simplify right side
    95,596x = 22,054,032,036
  5. Step 5: Solve for x
    x = 22,054,032,036/95,596
  6. Step 6: Final answer
    x = 230,700.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.