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Finding the Third Proportional to 58,413 and 91,512

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Solution

The third proportional to 58,413 and 91,512 is: 143,366.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,413 : 91,512 = 91,512 : x
  2. Step 2: Convert to fraction form
    58,413/91,512 = 91,512/x
  3. Step 3: Cross multiply
    58,413x = 91,512 × 91,512
  4. Step 4: Simplify right side
    58,413x = 8,374,446,144
  5. Step 5: Solve for x
    x = 8,374,446,144/58,413
  6. Step 6: Final answer
    x = 143,366.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.