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Finding the Third Proportional to 59,370 and 85,044

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Solution

The third proportional to 59,370 and 85,044 is: 121,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,370 : 85,044 = 85,044 : x
  2. Step 2: Convert to fraction form
    59,370/85,044 = 85,044/x
  3. Step 3: Cross multiply
    59,370x = 85,044 × 85,044
  4. Step 4: Simplify right side
    59,370x = 7,232,481,936
  5. Step 5: Solve for x
    x = 7,232,481,936/59,370
  6. Step 6: Final answer
    x = 121,820.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.