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Finding the Third Proportional to 53,422.50 and 114,256.50

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Solution

The third proportional to 53,422.50 and 114,256.50 is: 244,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,422.50 : 114,256.50 = 114,256.50 : x
  2. Step 2: Convert to fraction form
    53,422.50/114,256.50 = 114,256.50/x
  3. Step 3: Cross multiply
    53,422.50x = 114,256.50 × 114,256.50
  4. Step 4: Simplify right side
    53,422.50x = 13,054,547,792.25
  5. Step 5: Solve for x
    x = 13,054,547,792.25/53,422.50
  6. Step 6: Final answer
    x = 244,364.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.