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Finding the Third Proportional to 49,152 and 77,312

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Solution

The third proportional to 49,152 and 77,312 is: 121,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,152 : 77,312 = 77,312 : x
  2. Step 2: Convert to fraction form
    49,152/77,312 = 77,312/x
  3. Step 3: Cross multiply
    49,152x = 77,312 × 77,312
  4. Step 4: Simplify right side
    49,152x = 5,977,145,344
  5. Step 5: Solve for x
    x = 5,977,145,344/49,152
  6. Step 6: Final answer
    x = 121,605.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.