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Finding the Third Proportional to 58,952 and 85,642

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Solution

The third proportional to 58,952 and 85,642 is: 124,415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,952 : 85,642 = 85,642 : x
  2. Step 2: Convert to fraction form
    58,952/85,642 = 85,642/x
  3. Step 3: Cross multiply
    58,952x = 85,642 × 85,642
  4. Step 4: Simplify right side
    58,952x = 7,334,552,164
  5. Step 5: Solve for x
    x = 7,334,552,164/58,952
  6. Step 6: Final answer
    x = 124,415.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.