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Finding the Third Proportional to 58,590 and 90,798

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Solution

The third proportional to 58,590 and 90,798 is: 140,711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,590 : 90,798 = 90,798 : x
  2. Step 2: Convert to fraction form
    58,590/90,798 = 90,798/x
  3. Step 3: Cross multiply
    58,590x = 90,798 × 90,798
  4. Step 4: Simplify right side
    58,590x = 8,244,276,804
  5. Step 5: Solve for x
    x = 8,244,276,804/58,590
  6. Step 6: Final answer
    x = 140,711.33

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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.