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Finding the Third Proportional to 52,336 and 77,488

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Solution

The third proportional to 52,336 and 77,488 is: 114,727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,336 : 77,488 = 77,488 : x
  2. Step 2: Convert to fraction form
    52,336/77,488 = 77,488/x
  3. Step 3: Cross multiply
    52,336x = 77,488 × 77,488
  4. Step 4: Simplify right side
    52,336x = 6,004,390,144
  5. Step 5: Solve for x
    x = 6,004,390,144/52,336
  6. Step 6: Final answer
    x = 114,727.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.