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Finding the Third Proportional to 130,437.75 and 186,088.13

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Solution

The third proportional to 130,437.75 and 186,088.13 is: 265,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,437.75 : 186,088.13 = 186,088.13 : x
  2. Step 2: Convert to fraction form
    130,437.75/186,088.13 = 186,088.13/x
  3. Step 3: Cross multiply
    130,437.75x = 186,088.13 × 186,088.13
  4. Step 4: Simplify right side
    130,437.75x = 34,628,790,266.02
  5. Step 5: Solve for x
    x = 34,628,790,266.02/130,437.75
  6. Step 6: Final answer
    x = 265,481.35

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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.