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Finding the Third Proportional to 130,362.75 and 186,064.50

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Solution

The third proportional to 130,362.75 and 186,064.50 is: 265,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,362.75 : 186,064.50 = 186,064.50 : x
  2. Step 2: Convert to fraction form
    130,362.75/186,064.50 = 186,064.50/x
  3. Step 3: Cross multiply
    130,362.75x = 186,064.50 × 186,064.50
  4. Step 4: Simplify right side
    130,362.75x = 34,619,998,160.25
  5. Step 5: Solve for x
    x = 34,619,998,160.25/130,362.75
  6. Step 6: Final answer
    x = 265,566.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.