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Finding the Third Proportional to 94,602.09 and 142,301.81

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Solution

The third proportional to 94,602.09 and 142,301.81 is: 214,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,602.09 : 142,301.81 = 142,301.81 : x
  2. Step 2: Convert to fraction form
    94,602.09/142,301.81 = 142,301.81/x
  3. Step 3: Cross multiply
    94,602.09x = 142,301.81 × 142,301.81
  4. Step 4: Simplify right side
    94,602.09x = 20,249,805,840.79
  5. Step 5: Solve for x
    x = 20,249,805,840.79/94,602.09
  6. Step 6: Final answer
    x = 214,052.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.