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Finding the Third Proportional to 130,032 and 174,312

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Solution

The third proportional to 130,032 and 174,312 is: 233,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,032 : 174,312 = 174,312 : x
  2. Step 2: Convert to fraction form
    130,032/174,312 = 174,312/x
  3. Step 3: Cross multiply
    130,032x = 174,312 × 174,312
  4. Step 4: Simplify right side
    130,032x = 30,384,673,344
  5. Step 5: Solve for x
    x = 30,384,673,344/130,032
  6. Step 6: Final answer
    x = 233,670.74

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.