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Finding the Third Proportional to 69,262 and 99,048

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Solution

The third proportional to 69,262 and 99,048 is: 141,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,262 : 99,048 = 99,048 : x
  2. Step 2: Convert to fraction form
    69,262/99,048 = 99,048/x
  3. Step 3: Cross multiply
    69,262x = 99,048 × 99,048
  4. Step 4: Simplify right side
    69,262x = 9,810,506,304
  5. Step 5: Solve for x
    x = 9,810,506,304/69,262
  6. Step 6: Final answer
    x = 141,643.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.