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Finding the Third Proportional to 52,312 and 80,038

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Solution

The third proportional to 52,312 and 80,038 is: 122,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,312 : 80,038 = 80,038 : x
  2. Step 2: Convert to fraction form
    52,312/80,038 = 80,038/x
  3. Step 3: Cross multiply
    52,312x = 80,038 × 80,038
  4. Step 4: Simplify right side
    52,312x = 6,406,081,444
  5. Step 5: Solve for x
    x = 6,406,081,444/52,312
  6. Step 6: Final answer
    x = 122,459.12

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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.