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Finding the Third Proportional to 93,570.19 and 143,506.69

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Solution

The third proportional to 93,570.19 and 143,506.69 is: 220,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,570.19 : 143,506.69 = 143,506.69 : x
  2. Step 2: Convert to fraction form
    93,570.19/143,506.69 = 143,506.69/x
  3. Step 3: Cross multiply
    93,570.19x = 143,506.69 × 143,506.69
  4. Step 4: Simplify right side
    93,570.19x = 20,594,169,357.22
  5. Step 5: Solve for x
    x = 20,594,169,357.22/93,570.19
  6. Step 6: Final answer
    x = 220,093.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.