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Finding the Third Proportional to 50,202 and 77,776

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Solution

The third proportional to 50,202 and 77,776 is: 120,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,202 : 77,776 = 77,776 : x
  2. Step 2: Convert to fraction form
    50,202/77,776 = 77,776/x
  3. Step 3: Cross multiply
    50,202x = 77,776 × 77,776
  4. Step 4: Simplify right side
    50,202x = 6,049,106,176
  5. Step 5: Solve for x
    x = 6,049,106,176/50,202
  6. Step 6: Final answer
    x = 120,495.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.