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Finding the Third Proportional to 86,575 and 110,724

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Solution

The third proportional to 86,575 and 110,724 is: 141,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,575 : 110,724 = 110,724 : x
  2. Step 2: Convert to fraction form
    86,575/110,724 = 110,724/x
  3. Step 3: Cross multiply
    86,575x = 110,724 × 110,724
  4. Step 4: Simplify right side
    86,575x = 12,259,804,176
  5. Step 5: Solve for x
    x = 12,259,804,176/86,575
  6. Step 6: Final answer
    x = 141,609.06

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.