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Finding the Third Proportional to 103,621 and 157,457

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Solution

The third proportional to 103,621 and 157,457 is: 239,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,621 : 157,457 = 157,457 : x
  2. Step 2: Convert to fraction form
    103,621/157,457 = 157,457/x
  3. Step 3: Cross multiply
    103,621x = 157,457 × 157,457
  4. Step 4: Simplify right side
    103,621x = 24,792,706,849
  5. Step 5: Solve for x
    x = 24,792,706,849/103,621
  6. Step 6: Final answer
    x = 239,263.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.