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Finding the Third Proportional to 64,594.13 and 137,008.13

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Solution

The third proportional to 64,594.13 and 137,008.13 is: 290,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,594.13 : 137,008.13 = 137,008.13 : x
  2. Step 2: Convert to fraction form
    64,594.13/137,008.13 = 137,008.13/x
  3. Step 3: Cross multiply
    64,594.13x = 137,008.13 × 137,008.13
  4. Step 4: Simplify right side
    64,594.13x = 18,771,226,316.02
  5. Step 5: Solve for x
    x = 18,771,226,316.02/64,594.13
  6. Step 6: Final answer
    x = 290,602.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.