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Finding the Third Proportional to 73,465 and 109,117

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Solution

The third proportional to 73,465 and 109,117 is: 162,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,465 : 109,117 = 109,117 : x
  2. Step 2: Convert to fraction form
    73,465/109,117 = 109,117/x
  3. Step 3: Cross multiply
    73,465x = 109,117 × 109,117
  4. Step 4: Simplify right side
    73,465x = 11,906,519,689
  5. Step 5: Solve for x
    x = 11,906,519,689/73,465
  6. Step 6: Final answer
    x = 162,070.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.