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Finding the Third Proportional to 92,415 and 139,279.50

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Solution

The third proportional to 92,415 and 139,279.50 is: 209,909.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,415 : 139,279.50 = 139,279.50 : x
  2. Step 2: Convert to fraction form
    92,415/139,279.50 = 139,279.50/x
  3. Step 3: Cross multiply
    92,415x = 139,279.50 × 139,279.50
  4. Step 4: Simplify right side
    92,415x = 19,398,779,120.25
  5. Step 5: Solve for x
    x = 19,398,779,120.25/92,415
  6. Step 6: Final answer
    x = 209,909.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.