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Finding the Third Proportional to 52,513 and 77,945

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Solution

The third proportional to 52,513 and 77,945 is: 115,693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,513 : 77,945 = 77,945 : x
  2. Step 2: Convert to fraction form
    52,513/77,945 = 77,945/x
  3. Step 3: Cross multiply
    52,513x = 77,945 × 77,945
  4. Step 4: Simplify right side
    52,513x = 6,075,423,025
  5. Step 5: Solve for x
    x = 6,075,423,025/52,513
  6. Step 6: Final answer
    x = 115,693.70

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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.