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Finding the Third Proportional to 58,347 and 84,971.25

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Solution

The third proportional to 58,347 and 84,971.25 is: 123,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,347 : 84,971.25 = 84,971.25 : x
  2. Step 2: Convert to fraction form
    58,347/84,971.25 = 84,971.25/x
  3. Step 3: Cross multiply
    58,347x = 84,971.25 × 84,971.25
  4. Step 4: Simplify right side
    58,347x = 7,220,113,326.56
  5. Step 5: Solve for x
    x = 7,220,113,326.56/58,347
  6. Step 6: Final answer
    x = 123,744.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.