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Finding the Third Proportional to 97,040 and 144,959

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Solution

The third proportional to 97,040 and 144,959 is: 216,540.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,040 : 144,959 = 144,959 : x
  2. Step 2: Convert to fraction form
    97,040/144,959 = 144,959/x
  3. Step 3: Cross multiply
    97,040x = 144,959 × 144,959
  4. Step 4: Simplify right side
    97,040x = 21,013,111,681
  5. Step 5: Solve for x
    x = 21,013,111,681/97,040
  6. Step 6: Final answer
    x = 216,540.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.