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Finding the Third Proportional to 127,196 and 201,365

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Solution

The third proportional to 127,196 and 201,365 is: 318,782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,196 : 201,365 = 201,365 : x
  2. Step 2: Convert to fraction form
    127,196/201,365 = 201,365/x
  3. Step 3: Cross multiply
    127,196x = 201,365 × 201,365
  4. Step 4: Simplify right side
    127,196x = 40,547,863,225
  5. Step 5: Solve for x
    x = 40,547,863,225/127,196
  6. Step 6: Final answer
    x = 318,782.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.