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Finding the Third Proportional to 54,319.13 and 73,095

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Solution

The third proportional to 54,319.13 and 73,095 is: 98,360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,319.13 : 73,095 = 73,095 : x
  2. Step 2: Convert to fraction form
    54,319.13/73,095 = 73,095/x
  3. Step 3: Cross multiply
    54,319.13x = 73,095 × 73,095
  4. Step 4: Simplify right side
    54,319.13x = 5,342,879,025
  5. Step 5: Solve for x
    x = 5,342,879,025/54,319.13
  6. Step 6: Final answer
    x = 98,360.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.