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Finding the Third Proportional to 130,356 and 181,921.50

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Solution

The third proportional to 130,356 and 181,921.50 is: 253,884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,356 : 181,921.50 = 181,921.50 : x
  2. Step 2: Convert to fraction form
    130,356/181,921.50 = 181,921.50/x
  3. Step 3: Cross multiply
    130,356x = 181,921.50 × 181,921.50
  4. Step 4: Simplify right side
    130,356x = 33,095,432,162.25
  5. Step 5: Solve for x
    x = 33,095,432,162.25/130,356
  6. Step 6: Final answer
    x = 253,884.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.