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Finding the Third Proportional to 61,572 and 134,232

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Solution

The third proportional to 61,572 and 134,232 is: 292,636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,572 : 134,232 = 134,232 : x
  2. Step 2: Convert to fraction form
    61,572/134,232 = 134,232/x
  3. Step 3: Cross multiply
    61,572x = 134,232 × 134,232
  4. Step 4: Simplify right side
    61,572x = 18,018,229,824
  5. Step 5: Solve for x
    x = 18,018,229,824/61,572
  6. Step 6: Final answer
    x = 292,636.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.