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Finding the Third Proportional to 58,368 and 85,001

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Solution

The third proportional to 58,368 and 85,001 is: 123,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,368 : 85,001 = 85,001 : x
  2. Step 2: Convert to fraction form
    58,368/85,001 = 85,001/x
  3. Step 3: Cross multiply
    58,368x = 85,001 × 85,001
  4. Step 4: Simplify right side
    58,368x = 7,225,170,001
  5. Step 5: Solve for x
    x = 7,225,170,001/58,368
  6. Step 6: Final answer
    x = 123,786.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.