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Finding the Third Proportional to 58,468.08 and 136,636.24

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Solution

The third proportional to 58,468.08 and 136,636.24 is: 319,310.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,468.08 : 136,636.24 = 136,636.24 : x
  2. Step 2: Convert to fraction form
    58,468.08/136,636.24 = 136,636.24/x
  3. Step 3: Cross multiply
    58,468.08x = 136,636.24 × 136,636.24
  4. Step 4: Simplify right side
    58,468.08x = 18,669,462,679.12
  5. Step 5: Solve for x
    x = 18,669,462,679.12/58,468.08
  6. Step 6: Final answer
    x = 319,310.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.