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Finding the Third Proportional to 100,773 and 157,292

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Solution

The third proportional to 100,773 and 157,292 is: 245,509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,773 : 157,292 = 157,292 : x
  2. Step 2: Convert to fraction form
    100,773/157,292 = 157,292/x
  3. Step 3: Cross multiply
    100,773x = 157,292 × 157,292
  4. Step 4: Simplify right side
    100,773x = 24,740,773,264
  5. Step 5: Solve for x
    x = 24,740,773,264/100,773
  6. Step 6: Final answer
    x = 245,509.94

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.