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Finding the Third Proportional to 66,026 and 99,048

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Solution

The third proportional to 66,026 and 99,048 is: 148,585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,026 : 99,048 = 99,048 : x
  2. Step 2: Convert to fraction form
    66,026/99,048 = 99,048/x
  3. Step 3: Cross multiply
    66,026x = 99,048 × 99,048
  4. Step 4: Simplify right side
    66,026x = 9,810,506,304
  5. Step 5: Solve for x
    x = 9,810,506,304/66,026
  6. Step 6: Final answer
    x = 148,585.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.