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Finding the Third Proportional to 45,466 and 70,509

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Solution

The third proportional to 45,466 and 70,509 is: 109,345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,466 : 70,509 = 70,509 : x
  2. Step 2: Convert to fraction form
    45,466/70,509 = 70,509/x
  3. Step 3: Cross multiply
    45,466x = 70,509 × 70,509
  4. Step 4: Simplify right side
    45,466x = 4,971,519,081
  5. Step 5: Solve for x
    x = 4,971,519,081/45,466
  6. Step 6: Final answer
    x = 109,345.86

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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.