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Finding the Third Proportional to 58,430.11 and 125,588.81

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Solution

The third proportional to 58,430.11 and 125,588.81 is: 269,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,430.11 : 125,588.81 = 125,588.81 : x
  2. Step 2: Convert to fraction form
    58,430.11/125,588.81 = 125,588.81/x
  3. Step 3: Cross multiply
    58,430.11x = 125,588.81 × 125,588.81
  4. Step 4: Simplify right side
    58,430.11x = 15,772,549,825.16
  5. Step 5: Solve for x
    x = 15,772,549,825.16/58,430.11
  6. Step 6: Final answer
    x = 269,938.74

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Why These Related Problems?

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