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Finding the Third Proportional to 75,530.81 and 164,548.13

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Solution

The third proportional to 75,530.81 and 164,548.13 is: 358,477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,530.81 : 164,548.13 = 164,548.13 : x
  2. Step 2: Convert to fraction form
    75,530.81/164,548.13 = 164,548.13/x
  3. Step 3: Cross multiply
    75,530.81x = 164,548.13 × 164,548.13
  4. Step 4: Simplify right side
    75,530.81x = 27,076,085,441.02
  5. Step 5: Solve for x
    x = 27,076,085,441.02/75,530.81
  6. Step 6: Final answer
    x = 358,477.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.