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Finding the Third Proportional to 124,312 and 197,154

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Solution

The third proportional to 124,312 and 197,154 is: 312,678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,312 : 197,154 = 197,154 : x
  2. Step 2: Convert to fraction form
    124,312/197,154 = 197,154/x
  3. Step 3: Cross multiply
    124,312x = 197,154 × 197,154
  4. Step 4: Simplify right side
    124,312x = 38,869,699,716
  5. Step 5: Solve for x
    x = 38,869,699,716/124,312
  6. Step 6: Final answer
    x = 312,678.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.