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Finding the Third Proportional to 127,547 and 199,074

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Solution

The third proportional to 127,547 and 199,074 is: 310,712.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,547 : 199,074 = 199,074 : x
  2. Step 2: Convert to fraction form
    127,547/199,074 = 199,074/x
  3. Step 3: Cross multiply
    127,547x = 199,074 × 199,074
  4. Step 4: Simplify right side
    127,547x = 39,630,457,476
  5. Step 5: Solve for x
    x = 39,630,457,476/127,547
  6. Step 6: Final answer
    x = 310,712.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.