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Finding the Third Proportional to 58,315 and 90,050

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Solution

The third proportional to 58,315 and 90,050 is: 139,055.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,315 : 90,050 = 90,050 : x
  2. Step 2: Convert to fraction form
    58,315/90,050 = 90,050/x
  3. Step 3: Cross multiply
    58,315x = 90,050 × 90,050
  4. Step 4: Simplify right side
    58,315x = 8,109,002,500
  5. Step 5: Solve for x
    x = 8,109,002,500/58,315
  6. Step 6: Final answer
    x = 139,055.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.