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Finding the Third Proportional to 104,492 and 161,445

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Solution

The third proportional to 104,492 and 161,445 is: 249,440.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,492 : 161,445 = 161,445 : x
  2. Step 2: Convert to fraction form
    104,492/161,445 = 161,445/x
  3. Step 3: Cross multiply
    104,492x = 161,445 × 161,445
  4. Step 4: Simplify right side
    104,492x = 26,064,488,025
  5. Step 5: Solve for x
    x = 26,064,488,025/104,492
  6. Step 6: Final answer
    x = 249,440.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.