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Finding the Third Proportional to 61,473 and 94,623

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Solution

The third proportional to 61,473 and 94,623 is: 145,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,473 : 94,623 = 94,623 : x
  2. Step 2: Convert to fraction form
    61,473/94,623 = 94,623/x
  3. Step 3: Cross multiply
    61,473x = 94,623 × 94,623
  4. Step 4: Simplify right side
    61,473x = 8,953,512,129
  5. Step 5: Solve for x
    x = 8,953,512,129/61,473
  6. Step 6: Final answer
    x = 145,649.51

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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.