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Finding the Third Proportional to 64,594.13 and 139,073.63

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Solution

The third proportional to 64,594.13 and 139,073.63 is: 299,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,594.13 : 139,073.63 = 139,073.63 : x
  2. Step 2: Convert to fraction form
    64,594.13/139,073.63 = 139,073.63/x
  3. Step 3: Cross multiply
    64,594.13x = 139,073.63 × 139,073.63
  4. Step 4: Simplify right side
    64,594.13x = 19,341,473,170.64
  5. Step 5: Solve for x
    x = 19,341,473,170.64/64,594.13
  6. Step 6: Final answer
    x = 299,430.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.