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Finding the Third Proportional to 72,459 and 157,789

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Solution

The third proportional to 72,459 and 157,789 is: 343,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,459 : 157,789 = 157,789 : x
  2. Step 2: Convert to fraction form
    72,459/157,789 = 157,789/x
  3. Step 3: Cross multiply
    72,459x = 157,789 × 157,789
  4. Step 4: Simplify right side
    72,459x = 24,897,368,521
  5. Step 5: Solve for x
    x = 24,897,368,521/72,459
  6. Step 6: Final answer
    x = 343,606.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.