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Finding the Third Proportional to 88,266 and 130,684

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Solution

The third proportional to 88,266 and 130,684 is: 193,486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,266 : 130,684 = 130,684 : x
  2. Step 2: Convert to fraction form
    88,266/130,684 = 130,684/x
  3. Step 3: Cross multiply
    88,266x = 130,684 × 130,684
  4. Step 4: Simplify right side
    88,266x = 17,078,307,856
  5. Step 5: Solve for x
    x = 17,078,307,856/88,266
  6. Step 6: Final answer
    x = 193,486.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.