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Finding the Third Proportional to 96,904 and 145,364

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Solution

The third proportional to 96,904 and 145,364 is: 218,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,904 : 145,364 = 145,364 : x
  2. Step 2: Convert to fraction form
    96,904/145,364 = 145,364/x
  3. Step 3: Cross multiply
    96,904x = 145,364 × 145,364
  4. Step 4: Simplify right side
    96,904x = 21,130,692,496
  5. Step 5: Solve for x
    x = 21,130,692,496/96,904
  6. Step 6: Final answer
    x = 218,058.00

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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.