Finding the Third Proportional to 78,023 and 167,886
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Solution
The third proportional to 78,023 and 167,886 is: 361,248.72
Step by Step Solution
- Step 1: Write the proportion equation
78,023 : 167,886 = 167,886 : x - Step 2: Convert to fraction form
78,023/167,886 = 167,886/x - Step 3: Cross multiply
78,023x = 167,886 × 167,886 - Step 4: Simplify right side
78,023x = 28,185,708,996 - Step 5: Solve for x
x = 28,185,708,996/78,023 - Step 6: Final answer
x = 361,248.72
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.