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Finding the Third Proportional to 66,025.13 and 142,316.81

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Solution

The third proportional to 66,025.13 and 142,316.81 is: 306,763.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,025.13 : 142,316.81 = 142,316.81 : x
  2. Step 2: Convert to fraction form
    66,025.13/142,316.81 = 142,316.81/x
  3. Step 3: Cross multiply
    66,025.13x = 142,316.81 × 142,316.81
  4. Step 4: Simplify right side
    66,025.13x = 20,254,075,120.16
  5. Step 5: Solve for x
    x = 20,254,075,120.16/66,025.13
  6. Step 6: Final answer
    x = 306,763.15

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Why These Related Problems?

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