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Finding the Third Proportional to 104,117 and 157,457

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Solution

The third proportional to 104,117 and 157,457 is: 238,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,117 : 157,457 = 157,457 : x
  2. Step 2: Convert to fraction form
    104,117/157,457 = 157,457/x
  3. Step 3: Cross multiply
    104,117x = 157,457 × 157,457
  4. Step 4: Simplify right side
    104,117x = 24,792,706,849
  5. Step 5: Solve for x
    x = 24,792,706,849/104,117
  6. Step 6: Final answer
    x = 238,123.52

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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.