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Finding the Third Proportional to 88,466 and 136,995

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Solution

The third proportional to 88,466 and 136,995 is: 212,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,466 : 136,995 = 136,995 : x
  2. Step 2: Convert to fraction form
    88,466/136,995 = 136,995/x
  3. Step 3: Cross multiply
    88,466x = 136,995 × 136,995
  4. Step 4: Simplify right side
    88,466x = 18,767,630,025
  5. Step 5: Solve for x
    x = 18,767,630,025/88,466
  6. Step 6: Final answer
    x = 212,145.12

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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.