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Finding the Third Proportional to 102,312 and 157,842

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Solution

The third proportional to 102,312 and 157,842 is: 243,511.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,312 : 157,842 = 157,842 : x
  2. Step 2: Convert to fraction form
    102,312/157,842 = 157,842/x
  3. Step 3: Cross multiply
    102,312x = 157,842 × 157,842
  4. Step 4: Simplify right side
    102,312x = 24,914,096,964
  5. Step 5: Solve for x
    x = 24,914,096,964/102,312
  6. Step 6: Final answer
    x = 243,511.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.