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Finding the Third Proportional to 115,461.84 and 183,864.52

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Solution

The third proportional to 115,461.84 and 183,864.52 is: 292,790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,461.84 : 183,864.52 = 183,864.52 : x
  2. Step 2: Convert to fraction form
    115,461.84/183,864.52 = 183,864.52/x
  3. Step 3: Cross multiply
    115,461.84x = 183,864.52 × 183,864.52
  4. Step 4: Simplify right side
    115,461.84x = 33,806,160,106.02
  5. Step 5: Solve for x
    x = 33,806,160,106.02/115,461.84
  6. Step 6: Final answer
    x = 292,790.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.