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Finding the Third Proportional to 88,368 and 136,524

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Solution

The third proportional to 88,368 and 136,524 is: 210,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,368 : 136,524 = 136,524 : x
  2. Step 2: Convert to fraction form
    88,368/136,524 = 136,524/x
  3. Step 3: Cross multiply
    88,368x = 136,524 × 136,524
  4. Step 4: Simplify right side
    88,368x = 18,638,802,576
  5. Step 5: Solve for x
    x = 18,638,802,576/88,368
  6. Step 6: Final answer
    x = 210,922.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.