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Finding the Third Proportional to 104,167 and 157,709

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Solution

The third proportional to 104,167 and 157,709 is: 238,771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,167 : 157,709 = 157,709 : x
  2. Step 2: Convert to fraction form
    104,167/157,709 = 157,709/x
  3. Step 3: Cross multiply
    104,167x = 157,709 × 157,709
  4. Step 4: Simplify right side
    104,167x = 24,872,128,681
  5. Step 5: Solve for x
    x = 24,872,128,681/104,167
  6. Step 6: Final answer
    x = 238,771.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.