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Finding the Third Proportional to 53,262 and 83,545

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Solution

The third proportional to 53,262 and 83,545 is: 131,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,262 : 83,545 = 83,545 : x
  2. Step 2: Convert to fraction form
    53,262/83,545 = 83,545/x
  3. Step 3: Cross multiply
    53,262x = 83,545 × 83,545
  4. Step 4: Simplify right side
    53,262x = 6,979,767,025
  5. Step 5: Solve for x
    x = 6,979,767,025/53,262
  6. Step 6: Final answer
    x = 131,045.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.