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Finding the Third Proportional to 142,271.44 and 190,301.91

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Solution

The third proportional to 142,271.44 and 190,301.91 is: 254,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,271.44 : 190,301.91 = 190,301.91 : x
  2. Step 2: Convert to fraction form
    142,271.44/190,301.91 = 190,301.91/x
  3. Step 3: Cross multiply
    142,271.44x = 190,301.91 × 190,301.91
  4. Step 4: Simplify right side
    142,271.44x = 36,214,815,522.38
  5. Step 5: Solve for x
    x = 36,214,815,522.38/142,271.44
  6. Step 6: Final answer
    x = 254,547.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.