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Finding the Third Proportional to 59,478 and 130,784.25

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Solution

The third proportional to 59,478 and 130,784.25 is: 287,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,478 : 130,784.25 = 130,784.25 : x
  2. Step 2: Convert to fraction form
    59,478/130,784.25 = 130,784.25/x
  3. Step 3: Cross multiply
    59,478x = 130,784.25 × 130,784.25
  4. Step 4: Simplify right side
    59,478x = 17,104,520,048.06
  5. Step 5: Solve for x
    x = 17,104,520,048.06/59,478
  6. Step 6: Final answer
    x = 287,577.26

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