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Finding the Third Proportional to 53,482.78 and 115,430.06

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Solution

The third proportional to 53,482.78 and 115,430.06 is: 249,128.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,482.78 : 115,430.06 = 115,430.06 : x
  2. Step 2: Convert to fraction form
    53,482.78/115,430.06 = 115,430.06/x
  3. Step 3: Cross multiply
    53,482.78x = 115,430.06 × 115,430.06
  4. Step 4: Simplify right side
    53,482.78x = 13,324,099,328.75
  5. Step 5: Solve for x
    x = 13,324,099,328.75/53,482.78
  6. Step 6: Final answer
    x = 249,128.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.