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Finding the Third Proportional to 76,464 and 116,316

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Solution

The third proportional to 76,464 and 116,316 is: 176,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464 : 116,316 = 116,316 : x
  2. Step 2: Convert to fraction form
    76,464/116,316 = 116,316/x
  3. Step 3: Cross multiply
    76,464x = 116,316 × 116,316
  4. Step 4: Simplify right side
    76,464x = 13,529,411,856
  5. Step 5: Solve for x
    x = 13,529,411,856/76,464
  6. Step 6: Final answer
    x = 176,938.32

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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.