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Finding the Third Proportional to 102,348 and 157,893

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Solution

The third proportional to 102,348 and 157,893 is: 243,582.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,348 : 157,893 = 157,893 : x
  2. Step 2: Convert to fraction form
    102,348/157,893 = 157,893/x
  3. Step 3: Cross multiply
    102,348x = 157,893 × 157,893
  4. Step 4: Simplify right side
    102,348x = 24,930,199,449
  5. Step 5: Solve for x
    x = 24,930,199,449/102,348
  6. Step 6: Final answer
    x = 243,582.67

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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.