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Finding the Third Proportional to 75,051 and 105,556

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Solution

The third proportional to 75,051 and 105,556 is: 148,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,051 : 105,556 = 105,556 : x
  2. Step 2: Convert to fraction form
    75,051/105,556 = 105,556/x
  3. Step 3: Cross multiply
    75,051x = 105,556 × 105,556
  4. Step 4: Simplify right side
    75,051x = 11,142,069,136
  5. Step 5: Solve for x
    x = 11,142,069,136/75,051
  6. Step 6: Final answer
    x = 148,459.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.