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Finding the Third Proportional to 59,575 and 127,787

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Solution

The third proportional to 59,575 and 127,787 is: 274,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,575 : 127,787 = 127,787 : x
  2. Step 2: Convert to fraction form
    59,575/127,787 = 127,787/x
  3. Step 3: Cross multiply
    59,575x = 127,787 × 127,787
  4. Step 4: Simplify right side
    59,575x = 16,329,517,369
  5. Step 5: Solve for x
    x = 16,329,517,369/59,575
  6. Step 6: Final answer
    x = 274,100.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.