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Finding the Third Proportional to 84,008.81 and 133,088.48

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Solution

The third proportional to 84,008.81 and 133,088.48 is: 210,841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,008.81 : 133,088.48 = 133,088.48 : x
  2. Step 2: Convert to fraction form
    84,008.81/133,088.48 = 133,088.48/x
  3. Step 3: Cross multiply
    84,008.81x = 133,088.48 × 133,088.48
  4. Step 4: Simplify right side
    84,008.81x = 17,712,544,673.23
  5. Step 5: Solve for x
    x = 17,712,544,673.23/84,008.81
  6. Step 6: Final answer
    x = 210,841.51

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Why These Related Problems?

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