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Finding the Third Proportional to 66,466 and 144,596

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Solution

The third proportional to 66,466 and 144,596 is: 314,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,466 : 144,596 = 144,596 : x
  2. Step 2: Convert to fraction form
    66,466/144,596 = 144,596/x
  3. Step 3: Cross multiply
    66,466x = 144,596 × 144,596
  4. Step 4: Simplify right side
    66,466x = 20,908,003,216
  5. Step 5: Solve for x
    x = 20,908,003,216/66,466
  6. Step 6: Final answer
    x = 314,566.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.