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Finding the Third Proportional to 74,284 and 112,056

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Solution

The third proportional to 74,284 and 112,056 is: 169,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,284 : 112,056 = 112,056 : x
  2. Step 2: Convert to fraction form
    74,284/112,056 = 112,056/x
  3. Step 3: Cross multiply
    74,284x = 112,056 × 112,056
  4. Step 4: Simplify right side
    74,284x = 12,556,547,136
  5. Step 5: Solve for x
    x = 12,556,547,136/74,284
  6. Step 6: Final answer
    x = 169,034.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.