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Finding the Third Proportional to 53,554.63 and 116,328.13

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Solution

The third proportional to 53,554.63 and 116,328.13 is: 252,680.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,554.63 : 116,328.13 = 116,328.13 : x
  2. Step 2: Convert to fraction form
    53,554.63/116,328.13 = 116,328.13/x
  3. Step 3: Cross multiply
    53,554.63x = 116,328.13 × 116,328.13
  4. Step 4: Simplify right side
    53,554.63x = 13,532,232,666.02
  5. Step 5: Solve for x
    x = 13,532,232,666.02/53,554.63
  6. Step 6: Final answer
    x = 252,680.93

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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.