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Finding the Third Proportional to 58,466 and 91,121

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Solution

The third proportional to 58,466 and 91,121 is: 142,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,466 : 91,121 = 91,121 : x
  2. Step 2: Convert to fraction form
    58,466/91,121 = 91,121/x
  3. Step 3: Cross multiply
    58,466x = 91,121 × 91,121
  4. Step 4: Simplify right side
    58,466x = 8,303,036,641
  5. Step 5: Solve for x
    x = 8,303,036,641/58,466
  6. Step 6: Final answer
    x = 142,014.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.