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Finding the Third Proportional to 56,913 and 83,523

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Solution

The third proportional to 56,913 and 83,523 is: 122,574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,913 : 83,523 = 83,523 : x
  2. Step 2: Convert to fraction form
    56,913/83,523 = 83,523/x
  3. Step 3: Cross multiply
    56,913x = 83,523 × 83,523
  4. Step 4: Simplify right side
    56,913x = 6,976,091,529
  5. Step 5: Solve for x
    x = 6,976,091,529/56,913
  6. Step 6: Final answer
    x = 122,574.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.