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Finding the Third Proportional to 76,748 and 180,914

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Solution

The third proportional to 76,748 and 180,914 is: 426,459.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,748 : 180,914 = 180,914 : x
  2. Step 2: Convert to fraction form
    76,748/180,914 = 180,914/x
  3. Step 3: Cross multiply
    76,748x = 180,914 × 180,914
  4. Step 4: Simplify right side
    76,748x = 32,729,875,396
  5. Step 5: Solve for x
    x = 32,729,875,396/76,748
  6. Step 6: Final answer
    x = 426,459.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.