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Finding the Third Proportional to 54,335 and 83,117

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Solution

The third proportional to 54,335 and 83,117 is: 127,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,335 : 83,117 = 83,117 : x
  2. Step 2: Convert to fraction form
    54,335/83,117 = 83,117/x
  3. Step 3: Cross multiply
    54,335x = 83,117 × 83,117
  4. Step 4: Simplify right side
    54,335x = 6,908,435,689
  5. Step 5: Solve for x
    x = 6,908,435,689/54,335
  6. Step 6: Final answer
    x = 127,145.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.