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Finding the Third Proportional to 49,052 and 77,724

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Solution

The third proportional to 49,052 and 77,724 is: 123,155.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,052 : 77,724 = 77,724 : x
  2. Step 2: Convert to fraction form
    49,052/77,724 = 77,724/x
  3. Step 3: Cross multiply
    49,052x = 77,724 × 77,724
  4. Step 4: Simplify right side
    49,052x = 6,041,020,176
  5. Step 5: Solve for x
    x = 6,041,020,176/49,052
  6. Step 6: Final answer
    x = 123,155.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.