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Finding the Third Proportional to 130,712 and 195,546

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Solution

The third proportional to 130,712 and 195,546 is: 292,538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,712 : 195,546 = 195,546 : x
  2. Step 2: Convert to fraction form
    130,712/195,546 = 195,546/x
  3. Step 3: Cross multiply
    130,712x = 195,546 × 195,546
  4. Step 4: Simplify right side
    130,712x = 38,238,238,116
  5. Step 5: Solve for x
    x = 38,238,238,116/130,712
  6. Step 6: Final answer
    x = 292,538.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.