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Finding the Third Proportional to 59,427.28 and 130,518.56

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Solution

The third proportional to 59,427.28 and 130,518.56 is: 286,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,427.28 : 130,518.56 = 130,518.56 : x
  2. Step 2: Convert to fraction form
    59,427.28/130,518.56 = 130,518.56/x
  3. Step 3: Cross multiply
    59,427.28x = 130,518.56 × 130,518.56
  4. Step 4: Simplify right side
    59,427.28x = 17,035,095,157.07
  5. Step 5: Solve for x
    x = 17,035,095,157.07/59,427.28
  6. Step 6: Final answer
    x = 286,654.46

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Why These Related Problems?

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