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Finding the Third Proportional to 59,728.50 and 130,533.50

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Solution

The third proportional to 59,728.50 and 130,533.50 is: 285,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,728.50 : 130,533.50 = 130,533.50 : x
  2. Step 2: Convert to fraction form
    59,728.50/130,533.50 = 130,533.50/x
  3. Step 3: Cross multiply
    59,728.50x = 130,533.50 × 130,533.50
  4. Step 4: Simplify right side
    59,728.50x = 17,038,994,622.25
  5. Step 5: Solve for x
    x = 17,038,994,622.25/59,728.50
  6. Step 6: Final answer
    x = 285,274.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.