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Finding the Third Proportional to 52,970.63 and 114,343.69

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Solution

The third proportional to 52,970.63 and 114,343.69 is: 246,825.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,970.63 : 114,343.69 = 114,343.69 : x
  2. Step 2: Convert to fraction form
    52,970.63/114,343.69 = 114,343.69/x
  3. Step 3: Cross multiply
    52,970.63x = 114,343.69 × 114,343.69
  4. Step 4: Simplify right side
    52,970.63x = 13,074,478,871.10
  5. Step 5: Solve for x
    x = 13,074,478,871.10/52,970.63
  6. Step 6: Final answer
    x = 246,825.08

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