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Finding the Third Proportional to 54,324 and 114,547.50

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Solution

The third proportional to 54,324 and 114,547.50 is: 241,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,324 : 114,547.50 = 114,547.50 : x
  2. Step 2: Convert to fraction form
    54,324/114,547.50 = 114,547.50/x
  3. Step 3: Cross multiply
    54,324x = 114,547.50 × 114,547.50
  4. Step 4: Simplify right side
    54,324x = 13,121,129,756.25
  5. Step 5: Solve for x
    x = 13,121,129,756.25/54,324
  6. Step 6: Final answer
    x = 241,534.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.