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Finding the Third Proportional to 44,152 and 94,617

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Solution

The third proportional to 44,152 and 94,617 is: 202,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,152 : 94,617 = 94,617 : x
  2. Step 2: Convert to fraction form
    44,152/94,617 = 94,617/x
  3. Step 3: Cross multiply
    44,152x = 94,617 × 94,617
  4. Step 4: Simplify right side
    44,152x = 8,952,376,689
  5. Step 5: Solve for x
    x = 8,952,376,689/44,152
  6. Step 6: Final answer
    x = 202,762.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.