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Finding the Third Proportional to 76,076 and 160,008

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Solution

The third proportional to 76,076 and 160,008 is: 336,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,076 : 160,008 = 160,008 : x
  2. Step 2: Convert to fraction form
    76,076/160,008 = 160,008/x
  3. Step 3: Cross multiply
    76,076x = 160,008 × 160,008
  4. Step 4: Simplify right side
    76,076x = 25,602,560,064
  5. Step 5: Solve for x
    x = 25,602,560,064/76,076
  6. Step 6: Final answer
    x = 336,539.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.