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Finding the Third Proportional to 120,102 and 262,776

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Solution

The third proportional to 120,102 and 262,776 is: 574,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,102 : 262,776 = 262,776 : x
  2. Step 2: Convert to fraction form
    120,102/262,776 = 262,776/x
  3. Step 3: Cross multiply
    120,102x = 262,776 × 262,776
  4. Step 4: Simplify right side
    120,102x = 69,051,226,176
  5. Step 5: Solve for x
    x = 69,051,226,176/120,102
  6. Step 6: Final answer
    x = 574,938.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.