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Finding the Third Proportional to 74,623 and 161,275

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Solution

The third proportional to 74,623 and 161,275 is: 348,547.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,623 : 161,275 = 161,275 : x
  2. Step 2: Convert to fraction form
    74,623/161,275 = 161,275/x
  3. Step 3: Cross multiply
    74,623x = 161,275 × 161,275
  4. Step 4: Simplify right side
    74,623x = 26,009,625,625
  5. Step 5: Solve for x
    x = 26,009,625,625/74,623
  6. Step 6: Final answer
    x = 348,547.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.