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Finding the Third Proportional to 53,714.81 and 116,987.63

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Solution

The third proportional to 53,714.81 and 116,987.63 is: 254,792.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,714.81 : 116,987.63 = 116,987.63 : x
  2. Step 2: Convert to fraction form
    53,714.81/116,987.63 = 116,987.63/x
  3. Step 3: Cross multiply
    53,714.81x = 116,987.63 × 116,987.63
  4. Step 4: Simplify right side
    53,714.81x = 13,686,104,403.14
  5. Step 5: Solve for x
    x = 13,686,104,403.14/53,714.81
  6. Step 6: Final answer
    x = 254,792.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.