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Finding the Third Proportional to 105,466 and 158,334

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Solution

The third proportional to 105,466 and 158,334 is: 237,703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,466 : 158,334 = 158,334 : x
  2. Step 2: Convert to fraction form
    105,466/158,334 = 158,334/x
  3. Step 3: Cross multiply
    105,466x = 158,334 × 158,334
  4. Step 4: Simplify right side
    105,466x = 25,069,655,556
  5. Step 5: Solve for x
    x = 25,069,655,556/105,466
  6. Step 6: Final answer
    x = 237,703.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.