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Finding the Third Proportional to 88,371 and 130,842

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Solution

The third proportional to 88,371 and 130,842 is: 193,724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,371 : 130,842 = 130,842 : x
  2. Step 2: Convert to fraction form
    88,371/130,842 = 130,842/x
  3. Step 3: Cross multiply
    88,371x = 130,842 × 130,842
  4. Step 4: Simplify right side
    88,371x = 17,119,628,964
  5. Step 5: Solve for x
    x = 17,119,628,964/88,371
  6. Step 6: Final answer
    x = 193,724.51

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.