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Finding the Third Proportional to 77,712 and 160,953

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Solution

The third proportional to 77,712 and 160,953 is: 333,357.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,712 : 160,953 = 160,953 : x
  2. Step 2: Convert to fraction form
    77,712/160,953 = 160,953/x
  3. Step 3: Cross multiply
    77,712x = 160,953 × 160,953
  4. Step 4: Simplify right side
    77,712x = 25,905,868,209
  5. Step 5: Solve for x
    x = 25,905,868,209/77,712
  6. Step 6: Final answer
    x = 333,357.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.