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Finding the Third Proportional to 50,312 and 77,580

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Solution

The third proportional to 50,312 and 77,580 is: 119,626.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,312 : 77,580 = 77,580 : x
  2. Step 2: Convert to fraction form
    50,312/77,580 = 77,580/x
  3. Step 3: Cross multiply
    50,312x = 77,580 × 77,580
  4. Step 4: Simplify right side
    50,312x = 6,018,656,400
  5. Step 5: Solve for x
    x = 6,018,656,400/50,312
  6. Step 6: Final answer
    x = 119,626.66

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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.