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Finding the Third Proportional to 55,358 and 85,953

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Solution

The third proportional to 55,358 and 85,953 is: 133,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,358 : 85,953 = 85,953 : x
  2. Step 2: Convert to fraction form
    55,358/85,953 = 85,953/x
  3. Step 3: Cross multiply
    55,358x = 85,953 × 85,953
  4. Step 4: Simplify right side
    55,358x = 7,387,918,209
  5. Step 5: Solve for x
    x = 7,387,918,209/55,358
  6. Step 6: Final answer
    x = 133,457.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.