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Finding the Third Proportional to 54,650 and 86,430

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Solution

The third proportional to 54,650 and 86,430 is: 136,690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,650 : 86,430 = 86,430 : x
  2. Step 2: Convert to fraction form
    54,650/86,430 = 86,430/x
  3. Step 3: Cross multiply
    54,650x = 86,430 × 86,430
  4. Step 4: Simplify right side
    54,650x = 7,470,144,900
  5. Step 5: Solve for x
    x = 7,470,144,900/54,650
  6. Step 6: Final answer
    x = 136,690.67

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.