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Finding the Third Proportional to 58,391 and 90,597

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Solution

The third proportional to 58,391 and 90,597 is: 140,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,391 : 90,597 = 90,597 : x
  2. Step 2: Convert to fraction form
    58,391/90,597 = 90,597/x
  3. Step 3: Cross multiply
    58,391x = 90,597 × 90,597
  4. Step 4: Simplify right side
    58,391x = 8,207,816,409
  5. Step 5: Solve for x
    x = 8,207,816,409/58,391
  6. Step 6: Final answer
    x = 140,566.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.