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Finding the Third Proportional to 52,045 and 77,095

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Solution

The third proportional to 52,045 and 77,095 is: 114,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,045 : 77,095 = 77,095 : x
  2. Step 2: Convert to fraction form
    52,045/77,095 = 77,095/x
  3. Step 3: Cross multiply
    52,045x = 77,095 × 77,095
  4. Step 4: Simplify right side
    52,045x = 5,943,639,025
  5. Step 5: Solve for x
    x = 5,943,639,025/52,045
  6. Step 6: Final answer
    x = 114,201.92

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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.