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Finding the Third Proportional to 102,546 and 157,410

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Solution

The third proportional to 102,546 and 157,410 is: 241,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,546 : 157,410 = 157,410 : x
  2. Step 2: Convert to fraction form
    102,546/157,410 = 157,410/x
  3. Step 3: Cross multiply
    102,546x = 157,410 × 157,410
  4. Step 4: Simplify right side
    102,546x = 24,777,908,100
  5. Step 5: Solve for x
    x = 24,777,908,100/102,546
  6. Step 6: Final answer
    x = 241,627.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.