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Finding the Third Proportional to 102,559 and 157,430

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Solution

The third proportional to 102,559 and 157,430 is: 241,658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,559 : 157,430 = 157,430 : x
  2. Step 2: Convert to fraction form
    102,559/157,430 = 157,430/x
  3. Step 3: Cross multiply
    102,559x = 157,430 × 157,430
  4. Step 4: Simplify right side
    102,559x = 24,784,204,900
  5. Step 5: Solve for x
    x = 24,784,204,900/102,559
  6. Step 6: Final answer
    x = 241,658.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.