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Finding the Third Proportional to 56,526 and 83,829

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Solution

The third proportional to 56,526 and 83,829 is: 124,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,526 : 83,829 = 83,829 : x
  2. Step 2: Convert to fraction form
    56,526/83,829 = 83,829/x
  3. Step 3: Cross multiply
    56,526x = 83,829 × 83,829
  4. Step 4: Simplify right side
    56,526x = 7,027,301,241
  5. Step 5: Solve for x
    x = 7,027,301,241/56,526
  6. Step 6: Final answer
    x = 124,319.80

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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.