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Finding the Third Proportional to 115,017 and 174,594

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Solution

The third proportional to 115,017 and 174,594 is: 265,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,017 : 174,594 = 174,594 : x
  2. Step 2: Convert to fraction form
    115,017/174,594 = 174,594/x
  3. Step 3: Cross multiply
    115,017x = 174,594 × 174,594
  4. Step 4: Simplify right side
    115,017x = 30,483,064,836
  5. Step 5: Solve for x
    x = 30,483,064,836/115,017
  6. Step 6: Final answer
    x = 265,030.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.