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Finding the Third Proportional to 88,276 and 136,774

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Solution

The third proportional to 88,276 and 136,774 is: 211,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,276 : 136,774 = 136,774 : x
  2. Step 2: Convert to fraction form
    88,276/136,774 = 136,774/x
  3. Step 3: Cross multiply
    88,276x = 136,774 × 136,774
  4. Step 4: Simplify right side
    88,276x = 18,707,127,076
  5. Step 5: Solve for x
    x = 18,707,127,076/88,276
  6. Step 6: Final answer
    x = 211,916.34

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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.