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Finding the Third Proportional to 53,660.50 and 116,547.50

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Solution

The third proportional to 53,660.50 and 116,547.50 is: 253,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,660.50 : 116,547.50 = 116,547.50 : x
  2. Step 2: Convert to fraction form
    53,660.50/116,547.50 = 116,547.50/x
  3. Step 3: Cross multiply
    53,660.50x = 116,547.50 × 116,547.50
  4. Step 4: Simplify right side
    53,660.50x = 13,583,319,756.25
  5. Step 5: Solve for x
    x = 13,583,319,756.25/53,660.50
  6. Step 6: Final answer
    x = 253,134.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.