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Finding the Third Proportional to 39,507 and 86,113.50

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Solution

The third proportional to 39,507 and 86,113.50 is: 187,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,507 : 86,113.50 = 86,113.50 : x
  2. Step 2: Convert to fraction form
    39,507/86,113.50 = 86,113.50/x
  3. Step 3: Cross multiply
    39,507x = 86,113.50 × 86,113.50
  4. Step 4: Simplify right side
    39,507x = 7,415,534,882.25
  5. Step 5: Solve for x
    x = 7,415,534,882.25/39,507
  6. Step 6: Final answer
    x = 187,701.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.