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Finding the Third Proportional to 52,894 and 77,558

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Solution

The third proportional to 52,894 and 77,558 is: 113,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,894 : 77,558 = 77,558 : x
  2. Step 2: Convert to fraction form
    52,894/77,558 = 77,558/x
  3. Step 3: Cross multiply
    52,894x = 77,558 × 77,558
  4. Step 4: Simplify right side
    52,894x = 6,015,243,364
  5. Step 5: Solve for x
    x = 6,015,243,364/52,894
  6. Step 6: Final answer
    x = 113,722.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.