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Finding the Third Proportional to 107,964 and 237,184

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Solution

The third proportional to 107,964 and 237,184 is: 521,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,964 : 237,184 = 237,184 : x
  2. Step 2: Convert to fraction form
    107,964/237,184 = 237,184/x
  3. Step 3: Cross multiply
    107,964x = 237,184 × 237,184
  4. Step 4: Simplify right side
    107,964x = 56,256,249,856
  5. Step 5: Solve for x
    x = 56,256,249,856/107,964
  6. Step 6: Final answer
    x = 521,064.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.