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Finding the Third Proportional to 58,548 and 86,806

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Solution

The third proportional to 58,548 and 86,806 is: 128,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,548 : 86,806 = 86,806 : x
  2. Step 2: Convert to fraction form
    58,548/86,806 = 86,806/x
  3. Step 3: Cross multiply
    58,548x = 86,806 × 86,806
  4. Step 4: Simplify right side
    58,548x = 7,535,281,636
  5. Step 5: Solve for x
    x = 7,535,281,636/58,548
  6. Step 6: Final answer
    x = 128,702.63

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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.