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Finding the Third Proportional to 53,768 and 83,596

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Solution

The third proportional to 53,768 and 83,596 is: 129,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,768 : 83,596 = 83,596 : x
  2. Step 2: Convert to fraction form
    53,768/83,596 = 83,596/x
  3. Step 3: Cross multiply
    53,768x = 83,596 × 83,596
  4. Step 4: Simplify right side
    53,768x = 6,988,291,216
  5. Step 5: Solve for x
    x = 6,988,291,216/53,768
  6. Step 6: Final answer
    x = 129,971.20

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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.