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Finding the Third Proportional to 114,507 and 171,774

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Solution

The third proportional to 114,507 and 171,774 is: 257,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,507 : 171,774 = 171,774 : x
  2. Step 2: Convert to fraction form
    114,507/171,774 = 171,774/x
  3. Step 3: Cross multiply
    114,507x = 171,774 × 171,774
  4. Step 4: Simplify right side
    114,507x = 29,506,307,076
  5. Step 5: Solve for x
    x = 29,506,307,076/114,507
  6. Step 6: Final answer
    x = 257,681.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.