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Finding the Third Proportional to 72,535 and 157,166

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Solution

The third proportional to 72,535 and 157,166 is: 340,541.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,535 : 157,166 = 157,166 : x
  2. Step 2: Convert to fraction form
    72,535/157,166 = 157,166/x
  3. Step 3: Cross multiply
    72,535x = 157,166 × 157,166
  4. Step 4: Simplify right side
    72,535x = 24,701,151,556
  5. Step 5: Solve for x
    x = 24,701,151,556/72,535
  6. Step 6: Final answer
    x = 340,541.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.